This.
I can understand asking who will be in the home during the day or who your child may come in contact with. If someone was making an issue over the fact that my husband may be around occasionally on his days off or whatnot then my daycare is not the place for them. This is his home.
I have my husband listed in my contract as one of my backup care providers in the event I have to be out of the house for a personal appointment or to take the kids to an appointment. I also offer new families the chance to meet him before signing on. Usually he's been around for the interviews, so it's not an issue. He's had a police check as well.